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57380670 = 23354612
BaseRepresentation
bin1101101011100…
…0111100111110
310222222020111000
43122320330332
5104142140140
65405511130
71264504404
oct332707476
9128866430
1057380670
112a431a46
12172724a6
13bb70979
147899474
155086a30
hex36b8f3e

57380670 has 48 divisors (see below), whose sum is σ = 153347760. Its totient is φ = 15268320.

The previous prime is 57380657. The next prime is 57380671. The reversal of 57380670 is 7608375.

57380670 is a `hidden beast` number, since 573 + 80 + 6 + 7 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57380671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124240 + ... + 124700.

It is an arithmetic number, because the mean of its divisors is an integer number (3194745).

Almost surely, 257380670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57380670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76673880).

57380670 is an abundant number, since it is smaller than the sum of its proper divisors (95967090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57380670 is an equidigital number, since it uses as much as digits as its factorization.

57380670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 57380670 is about 7575.0029702964. The cubic root of 57380670 is about 385.7049433363.

The spelling of 57380670 in words is "fifty-seven million, three hundred eighty thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 461 922 1383 2305 2766 4149 4610 6915 8298 12447 13830 20745 24894 41490 62235 124470 212521 425042 637563 1062605 1275126 1912689 2125210 3187815 3825378 5738067 6375630 9563445 11476134 19126890 28690335 57380670